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Read the following and answer the questions that follow.
If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.
Q. What is the maximum possible average of class B?
  • a)
    26
  • b)
    27
  • c)
    25
  • d)
    28
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Read the following and answer the questions that follow.If 5 people ar...
For the maximum possible value of Class B the following set of operations will have to hold:
Five 33’s are transferred from C to B, whatever goes from B to A comes back from A to B, then
five 23’s are transferred from B to C. This leaves us with:
Increase of 50 marks → average increases by 2 to 27.
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Community Answer
Read the following and answer the questions that follow.If 5 people ar...

Calculation of Maximum Possible Average of Class B

Firstly, we need to determine the initial number of people in each class before any transfers. Let's assume there are x people in class A, y people in class B, and z people in class C.

Step 1: Transferring 5 people from C to B
After this transfer, the number of people in class B becomes y + 5.

Step 2: Transferring 5 people from B to A
Now, the number of people in class A becomes x + 5 and the number of people in class B becomes y - 5.

Step 3: Transferring 5 people from A to B
The number of people in class A becomes x, and the number of people in class B becomes y.

Step 4: Transferring 5 people from B to C
Finally, the number of people in class B becomes y - 5 and the number of people in class C becomes z + 5.

Now, to find the maximum possible average of class B, we need to consider the case where the number of people in class B is maximized after all transfers.

Since the number of people in class B is y at the end, we need to maximize y. This occurs when the initial number of people in class B is at its highest value before any transfers take place.

Assuming that initially, class B had the highest number of people, the average of class B can be calculated as (y + 5 + y - 5 + y) / 3 = (3y) / 3 = y.

Therefore, the maximum possible average of class B is y. As we are not provided with specific values for x, y, and z, the maximum possible average of class B cannot be determined exactly. However, based on the given options, option 'b) 27' seems to be the most reasonable choice for the maximum possible average of class B.
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